Equations
Define equation
Two equal expressions. Has an equal sign.
Define term
Parts of an expression separated by a “+” or “-“ sign
In what order do we simplify expressions, equations, or inequalities?
Grouping symbols, exponents, multiplication or division, addition or subtraction. From left to right.
PEMDAS
An elevator is on the twentieth floor. It goes down 11 floors and then up 5 floors. What floor is the elevator on now?
20-11+5=14
Zero,Positive, and negative whole numbers are known as___________?
Integers
What is the goal of solving an equation?
Isolate the variable - get it alone on either side of the equation.
Define like terms.
Terms that have the same variables with the same exponents
-3+27/9=?
-3+3=0
Mrs. Drew-Fox has a bank balance of $45 and writes a check for $55. What is her new balance?
45-55=$-10
Adding integers: When the signs of the numbers are the same, _________ the numbers and ________ the same sign for your answer.
Add, Keep
Solve
3x+7=49
3x+7=49
subtract 7 on both sides
3x=42
divide by 3 on both sides
x=14
How many terms are in this expression?
x2+x-14
3
5[3(4+2)]
5[3(6)]
5[18]
=90
Mrs. Drew-Fox has an overdraft of $25. She deposits $100. What is her new balance?
-25+100=$75
-5-5=?
-10
If a car is traveling at 65 miles per hour, then how far does it travel in 2 hours? D=rt
D=rt
D=65(2)
D=130 miles
This is an example of what property?
2x(x+4)
Distributive property
Define expression
An expression is any combination of numbers that we know and ones that we don’t (variables).
NO EQUAL SIGN!!!
Mrs. Drew-Fox deposited $300 into her checking account in December. During the month, she made withdrawals in the amounts of $25, $82, $213, and $97. Deposits of $84 and $116 were also made in December. What was her balance at the end of the month?
300-25-82-213-97+84+116=$83
3-10--6+5-7=
-3
5x+12=87
5x+12=87
-12 on both sides
5x=75
divide 5 on both sides
x=15
Combine like terms.
2(x+5)+3x
2x+10+3x
5x+10
Evaluate the expression x2+ 3x+6 when x=10
102+3(10)+6
100+30+6
=136
At a charity casino event, Hannah begins playing a slot machine with $10 in quarters. She plays 15 quarters before winning a jackpot of 50 quarters. She then plays 20 more quarters before walking away. How many quarters does Hannah end up with?
10(4)=40
40-15+50-20=55 quarters
When multiplying or dividing 2 negative integers, the answer will be a ____________ integer.
Positive